Finite Group Databasebeta

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#1088⋊D₃ #10620028

• solvable
• stem
• ambivalent

Aliases

Splittings

Subgroups

136 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^3,3^4|b^2=c,b^a=bc,d^a=d^2,e^a=d^2eg^2,f^a=f^2,g^a=g^2,d^b=d^2e^2,e^b=d^2eg,d^c=d^2,e^c=e^2g^2,e^d=eg

Conjugacy classes & character table

27 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(648, 547);